isomorphic
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English
Etymology
Pronunciation
- (UK) enPR: īsəmô'fĭk, IPA(key): /ˌaɪ.səˈmɔː.fɪk/
- (US) enPR: īsōmôr'fĭk, IPA(key): /ˌaɪ.soʊˈmɔɹ.fɪk/
Audio (US): (file) Audio (General Australian): (file) - Rhymes: -ɔː(ɹ)fɪk
Adjective
isomorphic (not comparable)
- (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
- 2003, Bernd Siegfried Walter Schröder, Ordered Sets: An Introduction, page 254:
- Let A, B be the ordered sets in Figure 10.3. Let C be the direct product of infinitely many copies of the two element chain 2. Then AC is isomorphic to BC, but A is not isomorphic to B.
- (biology) Having a similar structure or function to something that is not related genetically or through evolution.
- 1993, Marcus Jacobson, Foundations of Neuroscience, page 106:
- The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
- Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
- 1981, John Lyons, Language and Linguistics: An Introduction, page 60:
- For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.
Usage notes
- In mathematics, this adjective can be used in phrases like "A and B are isomorphic", "A is isomorphic to B", and, less commonly, "A is isomorphic with B".
Antonyms
Coordinate terms
Derived terms
Related terms
Translations
(biology) having a similar structure or function without genetic relation
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having identical relevant structure
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Further reading
isomorphic keyboard on Wikipedia.Wikipedia
Categories:
- English terms prefixed with iso-
- English terms suffixed with -morphic
- English 4-syllable words
- English terms with IPA pronunciation
- English terms with audio links
- Rhymes:English/ɔː(ɹ)fɪk
- Rhymes:English/ɔː(ɹ)fɪk/4 syllables
- English lemmas
- English adjectives
- English uncomparable adjectives
- en:Mathematics
- English terms with quotations
- en:Biology